A spring with a cart at its end vibrates at frequency8.0 Hz .
Determine the period of vibration.
Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
Determine the frequency if the spring constant doubles while the cart's mass remains the same.
Here, for the spring cart
Frequency = 8 Hz
period of vibration = 2pi/f
period of vibration = 2pi/8
period of vibration = 0.79 s
the period of vibration is 0.79 s
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as f = 1/(2pi) * sqrt(k/m)
for doubling the mass
f = 8/sqrt(2) = 5.66 Hz
the frequency is 5.66 Hz
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when the spring constant is doubled
as f = 1/(2pi) * sqrt(k/m)
for doubling the mass
f = 8 * sqrt(2) = 11.31 Hz
the frequency is 11.31 Hz
A spring with a cart at its end vibrates at frequency8.0 Hz . Determine the period...